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Finding the Third Proportional to 30,974 and 46,531

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Solution

The third proportional to 30,974 and 46,531 is: 69,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974 : 46,531 = 46,531 : x
  2. Step 2: Convert to fraction form
    30,974/46,531 = 46,531/x
  3. Step 3: Cross multiply
    30,974x = 46,531 × 46,531
  4. Step 4: Simplify right side
    30,974x = 2,165,133,961
  5. Step 5: Solve for x
    x = 2,165,133,961/30,974
  6. Step 6: Final answer
    x = 69,901.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.